I am reading the book "Special Relativity in General Frames" by Eric Gourgoulhon for its more axiomatic approach to flat Minkowski spacetime geometry. In this book, the author defines something called ...

If $U$ and $V$ are vector fields, then the derivative of $U$ along $V$ is the vector field $\nabla _V U$ with components
$$\nabla _V U=V^b \frac{\partial U^a}{\partial x^b}.$$
I would like to verify ...

The Planck-Einstein relation was first given for photons
$$E = h\nu$$
But later, de Broglie extended it to matter waves, and showed that it would hold for all particles as well. The $E$ for a photon ...

In our group of experimental physicist who have nothing to do with and know very little about quantum field theory, we recently had a question concerning the propagation speed of photons in vacuum:
...

A photon of zero rest mass collides with an electron of rest mass $m$ that is initially at rest in the laboratory frame. Show that the angle $ \theta $ by which the photon is deflected (measured in ...

I had a query about Einstein's special relativity, particularly when it came to the notion of $c$ being the ultimate speed. I resolved such a query by treating an imaginary particle traveling at an ...

Consider a sphere that travels through space with a velocity $v$. I wish to investigate the relative intensities of the CMB on all points on the sphere. For the microwaves approaching from the direct ...

If one were to be traveling at near the speed of light, their mass would be $m_{rel}= m_0 / \sqrt{1 - \frac{v^2}{c^2}}$. For the mass to double the speed would have to be $86.6\%c$
[edit]
To better ...

In definition of orthogonal matrices we say that the a matrix $A$ is orthogonal if $A^TA = I$, while for Lorentz Group it is written as $\Lambda^Tg\Lambda = g $. And we say that Lorentz transformation ...

In relativity when an object approaches the speed of light, $c$,its volume decreases due to length contraction. As a thought experiment, consider a rectangular metal box travelling at a relativistic ...

What is it? I've seen it in context of a few research papers such as
Absence of black holes at LHC due to gravity's rainbow
and Thermodynamics of black holes in gravity’s rainbow
formalisms
My best ...

I'm new to this stackexchange, I usually wander in the worldbuilding one and there I've read time and time again questions and answers about the different "passings of time" depending on where you are ...

As far as I'm aware, traveling at $c$ will prevent time passing due to time dilation. Electromagnetic waves rely upon oscillations to propagate. Since oscillations rely upon the passing of time, how ...

Motivating the classical momentum $\mathbf{p} = m\mathbf{v}$ is quite easy: it is meant to represent the quantity of motion of the particle, and since the mass is one measure of quantity of matter it ...

I have been having some trouble with this for a while. I think in terms of vivid , moving images and i haven't been able to visualize this completely. I wondered if a person, like the Flash from the ...

Most physicists currently understand entanglement as transferring information instantaneously, yet not violating causality. Is this really a satisfactory explanation, or should be look for something ...

Special relativity makes sense to me for objects moving at small fractions of $c$, but I am puzzled by how it works as we approach the limit. We are able to accelerate particles at CERN to speeds of ...

Few days ago I came by a derivation of STR from Bio-Savart law. Since then I have been trying to derive Bio-Savart law from STR. The derivation mentioned previously used two parallel current-carrying ...

A solid sphere of mass M is rotating along an axis.
We can consider it as a collection of large number of point masses, every point mass is moving with respect to center of mass with velocity which ...

When we talk about Minkowski space, do we assume the field $K$ we are using is the real numbers? Why couldn't spacetime be made up of the rational numbers or something? Also, I was reading Arnold and ...

In Relativity, both the old Galilean theory or Einstein's Special Relativity, one of the most important things is the discussion of whether or not physical laws are invariant. Einstein's theory then ...